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Lie groups and subsemigroups with surjective exponential function

About this Title

Karl H. Hofmann and Wolfgang A. F. Ruppert

Publication: Memoirs of the American Mathematical Society
Publication Year 1997: Volume 130, Number 618
ISBNs: 978-0-8218-0641-8 (print); 978-1-4704-0207-5 (online)
MathSciNet review: 1396958
MSC: Primary 22E15; Secondary 22A15

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Table of Contents


  • 1. Introduction
  • 2. The basic theory of exponential semigroups in Lie groups
  • 3. Weyl groups and finiteness properties of Cartan subalgebras
  • 4. Lie semialgebras
  • 5. More examples
  • 6. Test algebras and groups
  • 7. Groups supporting reduced weakly exponential semigroups
  • 8. Roots and root spaces
  • 9. Appendix: The hyperspace of a locally compact space